50105600 has 54 divisors (see below), whose sum is σ = 124035030. Its totient is φ = 20039680.

The previous prime is 50105599. The next prime is 50105609. The reversal of 50105600 is 650105.

It can be written as a sum of positive squares in 3 ways, for example, as 92416 + 50013184 = 304^2 + 7072^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50105609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2486 + ... + 10314.

It is an arithmetic number, because the mean of its divisors is an integer number (2296945).

Almost surely, 2^50105600 is an apocalyptic number.

50105600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62017515).

50105600 is an abundant number, since it is smaller than the sum of its proper divisors (73929430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50105600 is an equidigital number, since it uses as much as digits as its factorization.

50105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 50105600 is about 7078.5309210316. The cubic root of 50105600 is about 368.6623233090.

Adding to 50105600 its reverse (650105), we get a palindrome (50755705).

It can be divided in two parts, 50105 and 600, that added together give a palindrome (50705).

The spelling of 50105600 in words is "fifty million, one hundred five thousand, six hundred".